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A354119 Number of tilings of an n X n square using right trominoes, dominoes, and 2 X 2 tiles.

%I A354119 #9 May 18 2022 17:40:54
%S A354119 1,0,3,8,702,41952,16600824,13298557992,43157780553934,
%T A354119 388059824658319728,12013678896331086695556,
%U A354119 1135287009899570278101009440,350469343280046907242548361992474,340321401792584726949313213285940152032,1061786528674829112355995668763159293494203380
%N A354119 Number of tilings of an n X n square using right trominoes, dominoes, and 2 X 2 tiles.
%H A354119 Alois P. Heinz, <a href="/A354119/b354119.txt">Table of n, a(n) for n = 0..16</a>
%H A354119 Wikipedia, <a href="https://en.wikipedia.org/wiki/Polyomino">Polyomino</a>
%F A354119 a(n) = A354010(n,n).
%e A354119 a(2) = 3:
%e A354119    .___.    .___.    .___.
%e A354119    |   |    |___|    | | |
%e A354119    |___|    |___|    |_|_|  .
%e A354119 a(3) = 8:
%e A354119   ._____.  ._____.  ._____.  ._____.
%e A354119   |___| |  |_. | |  |___| |  |___| |
%e A354119   | ._|_|  | |_|_|  | |___|  | | |_|
%e A354119   |_|___|  |_|___|  |_|___|  |_|___|
%e A354119   ._____.  ._____.  ._____.  ._____.
%e A354119   | |___|  | |___|  | |___|  | | ._|
%e A354119   |___| |  |_| | |  |_|_. |  |_|_| |
%e A354119   |___|_|  |___|_|  |___|_|  |___|_|  .
%Y A354119 Main diagonal of A354010.
%Y A354119 Cf. A219994.
%K A354119 nonn
%O A354119 0,3
%A A354119 _Alois P. Heinz_, May 17 2022